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Finding the Third Proportional to 177,597 and 271,683

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Solution

The third proportional to 177,597 and 271,683 is: 415,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,597 : 271,683 = 271,683 : x
  2. Step 2: Convert to fraction form
    177,597/271,683 = 271,683/x
  3. Step 3: Cross multiply
    177,597x = 271,683 × 271,683
  4. Step 4: Simplify right side
    177,597x = 73,811,652,489
  5. Step 5: Solve for x
    x = 73,811,652,489/177,597
  6. Step 6: Final answer
    x = 415,613.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.